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Please help me answer this question-example-1
User Chocorean
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1 Answer

5 votes

Answer:

5.846∠-25.704°

Explanation:

The sum is easily found using an appropriate calculator.

2∠30° +5∠-45° ≈ 5.846∠-25.704°

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sum using rectangular coordinates

If you have a less-capable calculator, you can add the rectangular coordinates and convert the result to polar form

2∠30° +5∠-45° = (2cos(30°), 2sin(30°) +(5cos(-45°), 5sin(-45°))

= (√3, 1) +(5/2√2, -5/2√2) = (5/2√2 +√3, 1 -5/2√2)

The magnitude is the root of the sum of squares of these values:

|sum| = √(29+5(√6 -√2)) ≈ 5.846

The angle is the arctangent of the ratio of the second value to the first.

∠sum = arctan((1 -5/2√2)/(5/2√2 +√3)) ≈ -25.704°

Then the sum of the two numbers is about 5.846∠-25.704°.

Please help me answer this question-example-1
User Bryan Roth
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